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Finding the Third Proportional to 383,621 and 558,565

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Solution

The third proportional to 383,621 and 558,565 is: 813,289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,621 : 558,565 = 558,565 : x
  2. Step 2: Convert to fraction form
    383,621/558,565 = 558,565/x
  3. Step 3: Cross multiply
    383,621x = 558,565 × 558,565
  4. Step 4: Simplify right side
    383,621x = 311,994,859,225
  5. Step 5: Solve for x
    x = 311,994,859,225/383,621
  6. Step 6: Final answer
    x = 813,289.31

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.